%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL230-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:06:05 PM UTC 2026
% Result : Unsatisfiable 1.22s 1.95s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 17 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 27 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 60 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_3) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_6) ).
fof(f6,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ theorem(X1)
| ~ axiom(or(not(X1),X0))
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ theorem(or(not(X2),X1))
| ~ axiom(or(not(X0),X2))
| theorem(or(not(X0),X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_3) ).
fof(f9,negated_conjecture,
~ theorem(or(not(or(not(or(p,q)),or(p,r))),or(p,or(not(q),r)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_58,plain,
! [X0: $i] : axiom(or(not(or(X0,X0)),X0)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : axiom(or(not(X0),or(X1,X0))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_63,plain,
! [X0: $i] :
( theorem(X0)
| ~ axiom(X0) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( theorem(X1)
| ~ theorem(X0)
| ~ axiom(or(not(X0),X1)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(X2),X1))
| ~ axiom(or(not(X2),X0))
| ~ theorem(or(not(X0),X1)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_66,negated_conjecture,
~ theorem(or(not(or(not(or(p,q)),or(p,r))),or(p,or(not(q),r)))),
inference(cnf_transformation,[],[f9]) ).
tcf(c_226,plain,
! [X0: $i] : theorem(or(not(or(X0,X0)),X0)),
inference(superposition,[status(thm)],[c_58,c_63]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_61,c_64]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(or(X2,X0)),or(X2,X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_62,c_64]) ).
tcf(c_271,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(X0),X1))
| ~ axiom(or(not(X0),or(X1,X1))) ),
inference(superposition,[status(thm)],[c_226,c_65]) ).
tcf(c_414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( theorem(or(not(X0),or(X1,X3)))
| ~ theorem(or(not(X2),X3))
| ~ axiom(or(not(X0),or(X1,X2))) ),
inference(superposition,[status(thm)],[c_239,c_65]) ).
tcf(c_416,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X2,or(not(or(X2,X0)),X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_239,c_238]) ).
tcf(c_468,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_59,c_271]) ).
tcf(c_854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( theorem(or(not(or(X0,or(X3,X1))),or(X3,X2)))
| ~ theorem(or(not(or(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_61,c_414]) ).
tcf(c_884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( theorem(or(not(X2),or(not(or(not(X3),X0)),X1)))
| ~ axiom(or(not(X2),X3))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_416,c_65]) ).
tcf(c_2100,plain,
~ theorem(or(not(or(not(or(p,q)),r)),or(not(q),r))),
inference(superposition,[status(thm)],[c_854,c_66]) ).
tcf(c_2211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( theorem(or(not(or(not(X3),X0)),or(not(X2),X1)))
| ~ axiom(or(not(X2),X3))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_884,c_238]) ).
tcf(c_3433,plain,
! [X0: $i] : axiom(or(not(q),or(X0,q))),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_3435,plain,
axiom(or(not(q),or(p,q))),
inference(instantiation,[status(thm)],[c_3433]) ).
tcf(c_9100,plain,
( ~ theorem(or(not(r),r))
| ~ axiom(or(not(q),or(p,q))) ),
inference(superposition,[status(thm)],[c_2211,c_2100]) ).
tcf(c_9101,plain,
~ theorem(or(not(r),r)),
inference(global_subsumption_just,[status(thm)],[c_9100,c_3435,c_9100]) ).
tcf(c_9406,plain,
$false,
inference(superposition,[status(thm)],[c_468,c_9101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL230-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.57 % Computer : n003.cluster.edu
% 0.11/0.57 % Model : x86_64 x86_64
% 0.11/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.57 % Memory : 8046.5625MB
% 0.11/0.57 % OS : Linux 6.8.0-71-generic
% 0.11/0.57 % CPULimit : 300
% 0.11/0.57 % WCLimit : 300
% 0.11/0.57 % DateTime : Wed Sep 23 22:30:36 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.62 Running first-order theorem proving
% 0.11/0.62 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.63
% 0.14/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.63
% 0.14/0.63 % Detected problem language: tptp
% 0.14/0.64 % Proving...
% 1.22/1.95 % SZS status Started for theBenchmark.p
% 1.22/1.95 % SZS status Unsatisfiable for theBenchmark.p
% 1.22/1.95
% 1.22/1.95 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.22/1.95
% 1.22/1.95 % ------ iProver source info
% 1.22/1.95
% 1.22/1.95 % git: date: 2026-07-19 20:42:38 +0200
% 1.22/1.95 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.22/1.95 % git: non_committed_changes: false
% 1.22/1.95
% 1.22/1.95 % ------ Parsing...% successful
% 1.22/1.95
% 1.22/1.95
% 1.22/1.95 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.22/1.95
% 1.22/1.95 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.22/1.95
% 1.22/1.95 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.22/1.95 % ------ Proving...
% 1.22/1.95 % ------ Problem Properties
% 1.22/1.95
% 1.22/1.95 %
% 1.22/1.95 % clauses 9
% 1.22/1.95 % conjectures 1
% 1.22/1.95 % EPR 1
% 1.22/1.95 % Horn 9
% 1.22/1.95 % unary 6
% 1.22/1.95 % binary 1
% 1.22/1.95 % lits 14
% 1.22/1.95 % lits eq 0
% 1.22/1.95 % fd_pure 0
% 1.22/1.95 % fd_pseudo 0
% 1.22/1.95 % fd_cond 0
% 1.22/1.95 % fd_pseudo_cond 0
% 1.22/1.95 % AC symbols 0
% 1.22/1.95
% 1.22/1.95 % ------ Input Options Time Limit: Unbounded
% 1.22/1.95
% 1.22/1.95
% 1.22/1.95 % ------
% 1.22/1.95 % Current options:
% 1.22/1.95 % ------
% 1.22/1.95
% 1.22/1.95
% 1.22/1.95 %
% 1.22/1.95
% 1.22/1.95 % ------ Proving...
% 1.22/1.95 %
% 1.22/1.95
% 1.22/1.95 % SZS status Unsatisfiable for theBenchmark.p
% 1.22/1.95
% 1.22/1.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.22/1.95
% 1.22/1.95
%------------------------------------------------------------------------------